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Finding the Third Proportional to 61,805 and 142,835

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Solution

The third proportional to 61,805 and 142,835 is: 330,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,805 : 142,835 = 142,835 : x
  2. Step 2: Convert to fraction form
    61,805/142,835 = 142,835/x
  3. Step 3: Cross multiply
    61,805x = 142,835 × 142,835
  4. Step 4: Simplify right side
    61,805x = 20,401,837,225
  5. Step 5: Solve for x
    x = 20,401,837,225/61,805
  6. Step 6: Final answer
    x = 330,100.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.